Handbook of theoretical computer science (vol. B)
Journal of the ACM (JACM)
Finite automata, formal logic, and circuit complexity
Finite automata, formal logic, and circuit complexity
Theoretical Computer Science
Specification of realtime systems using ASTRAL
IEEE Transactions on Software Engineering
Reversal-Bounded Multicounter Machines and Their Decision Problems
Journal of the ACM (JACM)
Proceedings of the 22nd international conference on Software engineering
The design and analysis of real-time systems using the ASTRAL software development environment
Annals of Software Engineering
Counter machines and verification Problems
Theoretical Computer Science
Reachability Analysis of Pushdown Automata: Application to Model-Checking
CONCUR '97 Proceedings of the 8th International Conference on Concurrency Theory
Binary Reachability Analysis of Discrete Pushdown Timed Automata
CAV '00 Proceedings of the 12th International Conference on Computer Aided Verification
Tools and techniques for the design and systematic analysis of real-time systems
Tools and techniques for the design and systematic analysis of real-time systems
LogLogics: A logic for history-dependent business processes
Science of Computer Programming
LICS '12 Proceedings of the 2012 27th Annual IEEE/ACM Symposium on Logic in Computer Science
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We consider past pushdown timed automata that are discrete pushdown timed automata with past formulas as enabling conditions. Using past formulas allows a past pushdown timed automaton to access the past values of the finite state variables in the automaton. We prove that the reachability (i.e., the set of reachable configurations from an initial configuration) of a past push-down timed automaton can be accepted by a nondeterministic reversal-bounded counter-machine augmented with a pushdown stack (i.e., a reversal-bounded NPCM). By using the known fact that the emptiness problem for reversal-bounded NPCMs is decidable, we show that model-checking past pushdown timed automata against Presburger safety properties on discrete clocks and stack word counts is decidable. We also investigate the reachability problem for a class of transition systems under some fairness constraints in the form of generalized past formulas. Finally, we present an example ASTRAL specification to demonstrate the usefulness of the results.